72877480 has 64 divisors (see below), whose sum is σ = 177584400. Its totient is φ = 26757120.

The previous prime is 72877477. The next prime is 72877481. The reversal of 72877480 is 8477827.

It can be written as a sum of positive squares in 8 ways, for example, as 1542564 + 71334916 = 1242^2 + 8446^2 .

It is a super-2 number, since 2×72877480² = 10622254182300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72877481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139620 + ... + 140140.

Almost surely, 2^72877480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72877480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792200).

72877480 is an abundant number, since it is smaller than the sum of its proper divisors (104706920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72877480 is a wasteful number, since it uses less digits than its factorization.

72877480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The square root of 72877480 is about 8536.8307936845. The cubic root of 72877480 is about 417.6999747182.

The spelling of 72877480 in words is "seventy-two million, eight hundred seventy-seven thousand, four hundred eighty".